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Finding the Fourth Proportional to 508,556.31, 701,811.86 and 282,205.59

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Solution

The fourth proportional to 508,556.31, 701,811.86 and 282,205.59 is: 389,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,556.31 : 701,811.86 = 282,205.59 : x
  2. Step 2: Convert to fraction form
    508,556.31/701,811.86 = 282,205.59/x
  3. Step 3: Cross multiply
    508,556.31x = 701,811.86 × 282,205.59
  4. Step 4: Simplify right side
    508,556.31x = 198,055,228,609.27
  5. Step 5: Solve for x
    x = 198,055,228,609.27/508,556.31
  6. Step 6: Final answer
    x = 389,446.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.